What is the relationship between exponential and logarithmic functions?

Logarithmic functions are the inverses of exponential functions.

How do you express $$\log_a(b)$$ in terms of natural logarithms?

$$\log_a(b) = \frac{\ln(b)}{\ln(a)}$$

What is the property of logarithms that states $$\log_a(xy) = \log_a(x) + \log_a(y)$$ ?

Product property of logarithms.

Solving Base E And Natural Logarithms

Solving Base E and Natural Logarithms

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.5, HSF-BF.B.4A, HSF.LE.A.4

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15 questions

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FLASHCARD QUESTION

Front

Log with base "e" is referred to as...

Back

natural logarithm

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the next step when solving the equation $2e^x-3=1$ ?

Back

@@ \ln2=x @@

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

The inverse function of an exponential function is known as a...?

Back

logarithmic function

Tags

CCSS.HSF-BF.B.4A

FLASHCARD QUESTION

Front

Solve $5e^{3x - 2} + 15 = 35$

Back

FLASHCARD QUESTION

Front

Solve for x: $6^x=80$

Back

2.4457

Tags

CCSS.HSF.LE.A.4

FLASHCARD QUESTION

Front

What is the value of $e^0$ ?

Back

FLASHCARD QUESTION

Front

What is the derivative of the natural logarithm function $\ln(x)$ ?

Back

$\frac{1}{x}$

FLASHCARD QUESTION

Front

If $y = e^x$ , what is $x$ in terms of $y$ ?

Back

$x = \ln(y)$

Tags

CCSS.HSF.BF.B.5

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